Generalized Additive Mixed Models for correlated Data

描述(申请人提供)：我们研究的最终目标是 广义可加混合模型工具包S+GAMM的开发 相关数据。这项研究将为未来的发展做出根本性贡献 通过开发稳健的半参数进行公共卫生研究 用于处理相关数据的方法和用户友好的软件。 目前，还没有商业软件可以做到这一点。该计划的目的是 建议的研究是为了克服这一不足，并扩大 使用平滑样条法模拟相关性为 现在时。该方法是混合效果建模的集成，用于 均值函数的方差分量和非参数加性模型 协变效应。我们将结合诊断技术和图形 方法添加到包中。S+GAMM模块将是面向对象的 用S+语言编写的软件模块。我们还将开发一种全面的 使用实际问题的案例研究指南，如纵向数据和空间 数据。 建议的商业应用： S+GAMM将成为S+软件系统的一个模块。这个模块会很吸引人 既面向现有的S+用户群，也面向更广泛的 生物医学研究人员和数据分析师。这项研究也将对未来的发展起到推动作用。 短期课程、书籍和其他教育材料。

DESCRIPTION (provided by applicant): The ultimate objective of our research is the development of S+ GAMM: a toolkit of generalized additive mixed model for correlated data. This research will make fundamental contributions to the conduct of public health studies by developing robust semi-parametric methodologies and user-friendly software for handling correlated data. Currently, there is no commercial software that does this. The aim of the proposed research is to overcome this deficiency and extend the benefits of using smoothing splines to model the covariate effects when correlation is present. The methodology is an integration of mixed-effects modeling for variance components and non-parametric additive models for the mean functions of covariate effects. We will incorporate diagnostic techniques and graphical methods into the package. The S+ GAMM module will be an object-oriented software module in the S-Plus language. We will also develop a comprehensive case study guidebook using real problems, such as longitudinal data and spatial data. PROPOSED COMMERCIAL APPLICATION: S+GAMM will be a module in the S-Plus software system. This module will be attractive both to the existing S-Plus user base, as well as to a much broader community of biomedical researchers and data analysts. This research will also lead to the development of short courses, books, and other educational materials.